Munster captain Denis Leamy praised the character of his side after they rallied to post a 16-13 Magners League victory over a disappointing Edinburgh team.
Despite dominating for much of the opening 40 minutes, Munster only enjoyed a 6-3 lead at the interval and found themselves behind early in the second half when Tim Visser went over for a converted try.
Munster restored their lead with Donncha O'Callaghan crossing for the visitors' first try before closing the match with a Ronan O'Gara penalty.
The result made it two wins from two for Munster, and Leamy was delighted to get the result at a stadium that has not always been a happy hunting ground for the Irish side.
"Although we had all the first-half pressure, we never really threatened and we had to show a lot of character when we went behind," said Leamy.
"Murrayfield has not been a good ground for us in recent years so we are delighted to have got the win."
Edinburgh have now lost two straight league games and the Scottish team were under the cosh from the outset against a powerful Munster outfit which piled on the pressure.
Two penalties from Paul Warwick to one by Chris Paterson on the stroke of half-time gave Munster the half-time advantage before Visser's try moved the hosts into a 10-6 lead.
O'Callaghan wiped out the deficit when he crossed for Munster's try, converted by O'Gara, before a Paterson penalty tied the score.
But there was an air of inevitability that Munster would ultimately prevail, and O'Gara duly landed the penalty which put them into the lead with 13 minutes remaining.
To add to Edinburgh's woes, Argentinian lock Esteban Lozada also suffered a serious-looking injury in the first half.
But Edinburgh coach Rob Moffat admitted his side only had themselves to blame for the loss.
"It was a poor performance by us," he said. "That is what happens if you don't look after the ball.
"It is amazing that we were still in the game when we took the lead but we weren't aggressive enough in contact and paid the price."